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Finding the Fourth Proportional to 14,966.86, 22,448.13 and 4,575.82

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Solution

The fourth proportional to 14,966.86, 22,448.13 and 4,575.82 is: 6,863.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.86 : 22,448.13 = 4,575.82 : x
  2. Step 2: Convert to fraction form
    14,966.86/22,448.13 = 4,575.82/x
  3. Step 3: Cross multiply
    14,966.86x = 22,448.13 × 4,575.82
  4. Step 4: Simplify right side
    14,966.86x = 102,718,602.22
  5. Step 5: Solve for x
    x = 102,718,602.22/14,966.86
  6. Step 6: Final answer
    x = 6,863.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.